Antiwindup design with guaranteed regions of stability : an LMI-based approach
Autor(a) principal: | |
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Data de Publicação: | 2005 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRGS |
Texto Completo: | http://hdl.handle.net/10183/27579 |
Resumo: | This note addresses the design of antiwindup gains for obtaining larger regions of stability for linear systems with saturating inputs. Considering that a linear dynamic output feedback has been designed to stabilize the linear system (without saturation), a method is proposed for designing an antiwindup gain that maximizes an estimate of the basin of attraction of the closed-loop system. It is shown that the closed-loop system obtained from the controller plus the antiwindup gain can be modeled by a linear system with a deadzone nonlinearity. A modified sector condition is then used to obtain stability conditions based on quadratic Lyapunov functions. Differently from previousworks these conditions are directly in linear matrix inequality form. Some numerical examples illustrate the effectiveness of the proposed design technique when compared with the previous ones. |
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Silva Junior, Joao Manoel Gomes daTarbouriech, Sophie2011-01-28T05:59:09Z20050018-9286http://hdl.handle.net/10183/27579000469593This note addresses the design of antiwindup gains for obtaining larger regions of stability for linear systems with saturating inputs. Considering that a linear dynamic output feedback has been designed to stabilize the linear system (without saturation), a method is proposed for designing an antiwindup gain that maximizes an estimate of the basin of attraction of the closed-loop system. It is shown that the closed-loop system obtained from the controller plus the antiwindup gain can be modeled by a linear system with a deadzone nonlinearity. A modified sector condition is then used to obtain stability conditions based on quadratic Lyapunov functions. Differently from previousworks these conditions are directly in linear matrix inequality form. Some numerical examples illustrate the effectiveness of the proposed design technique when compared with the previous ones.application/pdfengIEEE transactions on automatic control. vol. 50, no.1 (Jan. 2005), p. 106-111Controle automático : EstabilidadeSistemas lineares : EstabilidadeActuator saturationAntiwindupLinear matrix inequality (LMI)StabilityAntiwindup design with guaranteed regions of stability : an LMI-based approachEstrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSORIGINAL000469593.pdf000469593.pdfTexto completo (inglês)application/pdf258727http://www.lume.ufrgs.br/bitstream/10183/27579/1/000469593.pdf2a76d63fb9295e64bdbd431a866b404bMD51TEXT000469593.pdf.txt000469593.pdf.txtExtracted Texttext/plain33437http://www.lume.ufrgs.br/bitstream/10183/27579/2/000469593.pdf.txteb1ef3450f842353f03844b912284f75MD52THUMBNAIL000469593.pdf.jpg000469593.pdf.jpgGenerated Thumbnailimage/jpeg2182http://www.lume.ufrgs.br/bitstream/10183/27579/3/000469593.pdf.jpg2715f1eec5a370beb457882b759f3b28MD5310183/275792018-10-29 08:39:46.198oai:www.lume.ufrgs.br:10183/27579Repositório InstitucionalPUBhttps://lume.ufrgs.br/oai/requestlume@ufrgs.bropendoar:2018-10-29T11:39:46Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false |
dc.title.pt_BR.fl_str_mv |
Antiwindup design with guaranteed regions of stability : an LMI-based approach |
title |
Antiwindup design with guaranteed regions of stability : an LMI-based approach |
spellingShingle |
Antiwindup design with guaranteed regions of stability : an LMI-based approach Silva Junior, Joao Manoel Gomes da Controle automático : Estabilidade Sistemas lineares : Estabilidade Actuator saturation Antiwindup Linear matrix inequality (LMI) Stability |
title_short |
Antiwindup design with guaranteed regions of stability : an LMI-based approach |
title_full |
Antiwindup design with guaranteed regions of stability : an LMI-based approach |
title_fullStr |
Antiwindup design with guaranteed regions of stability : an LMI-based approach |
title_full_unstemmed |
Antiwindup design with guaranteed regions of stability : an LMI-based approach |
title_sort |
Antiwindup design with guaranteed regions of stability : an LMI-based approach |
author |
Silva Junior, Joao Manoel Gomes da |
author_facet |
Silva Junior, Joao Manoel Gomes da Tarbouriech, Sophie |
author_role |
author |
author2 |
Tarbouriech, Sophie |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Silva Junior, Joao Manoel Gomes da Tarbouriech, Sophie |
dc.subject.por.fl_str_mv |
Controle automático : Estabilidade Sistemas lineares : Estabilidade |
topic |
Controle automático : Estabilidade Sistemas lineares : Estabilidade Actuator saturation Antiwindup Linear matrix inequality (LMI) Stability |
dc.subject.eng.fl_str_mv |
Actuator saturation Antiwindup Linear matrix inequality (LMI) Stability |
description |
This note addresses the design of antiwindup gains for obtaining larger regions of stability for linear systems with saturating inputs. Considering that a linear dynamic output feedback has been designed to stabilize the linear system (without saturation), a method is proposed for designing an antiwindup gain that maximizes an estimate of the basin of attraction of the closed-loop system. It is shown that the closed-loop system obtained from the controller plus the antiwindup gain can be modeled by a linear system with a deadzone nonlinearity. A modified sector condition is then used to obtain stability conditions based on quadratic Lyapunov functions. Differently from previousworks these conditions are directly in linear matrix inequality form. Some numerical examples illustrate the effectiveness of the proposed design technique when compared with the previous ones. |
publishDate |
2005 |
dc.date.issued.fl_str_mv |
2005 |
dc.date.accessioned.fl_str_mv |
2011-01-28T05:59:09Z |
dc.type.driver.fl_str_mv |
Estrangeiro info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10183/27579 |
dc.identifier.issn.pt_BR.fl_str_mv |
0018-9286 |
dc.identifier.nrb.pt_BR.fl_str_mv |
000469593 |
identifier_str_mv |
0018-9286 000469593 |
url |
http://hdl.handle.net/10183/27579 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.ispartof.pt_BR.fl_str_mv |
IEEE transactions on automatic control. vol. 50, no.1 (Jan. 2005), p. 106-111 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
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reponame:Repositório Institucional da UFRGS instname:Universidade Federal do Rio Grande do Sul (UFRGS) instacron:UFRGS |
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UFRGS |
reponame_str |
Repositório Institucional da UFRGS |
collection |
Repositório Institucional da UFRGS |
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Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS) |
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lume@ufrgs.br |
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